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math.RT2026
Finiteness of homological dimensions in triangulated categories
Hongxing Chen, Xiaohu Chen, Jinbi Zhang
In a general triangulated category, the finiteness of the finitistic dimension serves as a prerequisite for a categorical obstruction, via the singularity category, to the existenc…
math.RT2025
Virtually Gorenstein algebras of infinite dominant dimension
Hongxing Chen, Changchang Xi
Motivated by understanding the Nakayama conjecture which states that algebras of infinite dominant dimension should be self-injective, we study self-orthogonal modules with virtual…